What is the answer to (x-3)/5 =(x+1)/6 ?

The answer to (x-3)/5 =(x+1)/6 is x=23

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(x-3)/5 =(x+1)/6

\frac{x - 3}{5} = \frac{x + 1}{6}

x = 23

Solution steps

\frac{x - 3}{5} = \frac{x + 1}{6}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x - 3) \cdot 6 = 5 (x + 1)

Expand

(x - 3) \cdot 6 : 6 x - 18

Expand

5 (x + 1) : 5 x + 5

6 x - 18 = 5 x + 5

Move

18

to the right side

6 x = 5 x + 23

Move

5 x

to the left side

x = 23

t + 6 = \frac{2}{3}

- 8 p = 20 (\frac{4}{5} p + 3 - \frac{3}{4} p)

8 x = 56

5 y - 12 = y - 4

a, p = \frac{100 a}{t}